What is the inverse of the function f(x) = 2x – 10?
1 answer:
F(x) = 2x - 10
let y = f(x)
y = 2x - 10 solving for x.
y + 10 = 2x
2x = y + 10
x = (y + 10)/2
Recall f(x) = y. Implies x = f⁻¹(y)
<span>x = (y + 10)/2
</span>
f⁻¹(y) <span>= (y + 10)/2
</span>
So as well:
f⁻¹(x) <span>= (x - 10)/2</span>
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